MCA MONTESSORI SCHOOL
CLASS NUMBER
MATHEMATICS – MATHEMATICS – GRADE GRADE 10 1ST SUMMATIVE TEST
SCORE
Name: _________________________ _________________________________Date: ________Date: ___________ Gr. & Sec.: _________________Parent’s _________________Parent’s Signature: ___________ Signature: ___________ Subject Teacher: Ms. Hanna Grace C. Honrade Direction: Read the following statement carefully. Encircle the letter of the correct answer. 1. A set of real numbers that is formed according to a certain logical order? a. sequence
b. term
c. series
d. pattern
c. series
d. pattern
2. Is the sum of terms of a sequence? a. sequence
b. term
3. A constant multiplied to each term of a geometric sequence to obtain the next term of the sequence. a. common difference
b. common ratio
c. finite
d. infinite
c. 24
d. 26
4. What is the next term? 0, 4, 8, 12, 16 _____? a. 20
b. 22
5. The one who proposed the Fibonacci sequence? a. Leonard fibro
b. Leon Fibonacci
c. Leonardo Fibonacci
6. Find the 5 th term of the sequence given the nth term a. 5
b. 6
d. nard Fibonacci
= 2n + 1
c. 8
d. 11
7. Find the sum, of the geometric sequence where the first term is 3, the last term is 46 875, and the common ratio is 5? a. 58, 593
b. 58 594
c. 58 595
d. 58 596
8. Which of the following sequences is an arithmetic sequence? a. -2, 4, -8, 16
b. 2, 4, 8, 16
c. 1, 2, 3, 5, 8
d. 1, 2, 3, 4, 5,
9. 8, 16, 24, 32 is an example of what sequence? a. arithmetic sequence
b. geometric sequence
c. harmonic sequence
d. Fibonacci sequence
10. What is the 7 th term of the arithmetic sequence 5, 12, 19, 28, … a. 46
b. 47
c. 48
d. 49
11. Find the sum of the first 20 terms of the arithmetic sequence. -2, -5, -8, -11 a. -410
b. -510
c. -610
d. -710
12. What is the next term in the Fibonacci sequence 1, 1, 2, 3, 5, 8, __? a. 13
b. 16
c. 19
d. 20
13. A sequence in which each succeeding term is obtained from the previous term by multiplying it by a fixed number called common ratio? a. harmonic sequence
b. arithmetic sequence
c. geometric sequence
d. Fibonacci sequence
14. In the arithmetic sequence, the terms between any two terms is called? a. arithmetic means
b. geometric mean
c. harmonic means
d. mean
15. What is the next term in the geometric sequence 4, -12, 36, ___? a. -42
b. -54
c. -72
d. -108
16. What is the 6 th term of the geometric sequence 2/25, 2/5, 2, 10 …? a. 25
b. 250
c. 1250
d. 2500
17. A function whose domain is the infinite set { 1, 2, 3, …} a. common difference
b. common ratio
c. finite sequence
d. infinite sequence
18. Which term of the arithmetic sequence 4, 1, -2, - 5, … is -29? a. 9th term
b. 10th term
c. 11th term
d. 12th term
19. A sequence such that the reciprocals of the terms form an arithmetic sequence. a. arithmetic sequence
b. geometric sequence
c. harmonic sequence
d. Fibonacci sequence
20. A sequence in which the difference between any two consecutive terms is the same? a. arithmetic sequence
b. geometric sequence
c. harmonic sequence
d. Fibonacci sequence
21. Is the sum of the terms of an arithmetic sequence. a. arithmetic series
b. geometric series
b. Fibonacci series
d. harmonic series
22. What is the missing term of the arithmetic sequence 5, -1, -7, ___, - 19 …? a. -10
b. -11
c. -12
d. -13
23. The term between any two terms of a geometric sequence.? a. arithmetic mean
b. geometric mean
b. harmonic mean
d. Fibonacci mean
24. Find the common ratio of the geometric sequence 2, 4, 8, 16 a. 1
b. 2
c. 3
d.4
25. Find the common difference -18, -15, -12, -9, -6 a. 1
b. 2
c. 3
d. 4
Dir ection: ection: Fi nd the the spe s pecifi cified ed term term of of Fibona F ibonacci cci s eq equen uence. ce. E xpres s your answer to the the neares neares t whole number. number. ( let phi = 1.6180) 1. f (26) = _____________________
2. f (25) = _____________________
3. f (24) = _____________________
4. f (23) = _____________________
5. f (22) = _____________________
S olve for the following followin g ques tion (S ( S HOW HO W YOU Y OUR R S OL UTI ON) ON ) (4 points poi nts each) a. Find the four-harmonic means between ½ and 1/5 ½, ___, ___, ___, ___, 1/5
b. Find the value of x when the arithmetic mean of x + 2 and 4x + 5 is 3x +2 x + 2,
3x + 2, 4x + 5
c. Find the sum of the geometric sequence
d. Find
8, when = 32 and d = -1
e. Solve for the given Summation:
5
∑(2 − 1)
=
= 10 r = 5 and n = 5
